16287082560 has 1344 divisors, whose sum is σ = 74053232640. Its totient is φ = 3344302080.

The previous prime is 16287082547. The next prime is 16287082561. The reversal of 16287082560 is 6528078261.

16287082560 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 7 + 0 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16287082561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 223110684 + ... + 223110756.

Almost surely, 2^16287082560 is an apocalyptic number.

16287082560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16287082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37026616320).

16287082560 is an abundant number, since it is smaller than the sum of its proper divisors (57766150080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16287082560 is a wasteful number, since it uses less digits than its factorization.

16287082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 16287082560 in words is "sixteen billion, two hundred eighty-seven million, eighty-two thousand, five hundred sixty".